13449216 has 96 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 4055040.

The previous prime is 13449211. The next prime is 13449221. The reversal of 13449216 is 61294431.

It is an interprime number because it is at equal distance from previous prime (13449211) and next prime (13449221).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13449216² = 361762822029312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13449211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67485 + ... + 67683.

It is an arithmetic number, because the mean of its divisors is an integer number (409500).

Almost surely, 2^13449216 is an apocalyptic number.

13449216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

13449216 is an abundant number, since it is smaller than the sum of its proper divisors (25862784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13449216 is a wasteful number, since it uses less digits than its factorization.

13449216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 13449216 is about 3667.3172756117. The cubic root of 13449216 is about 237.8112101230.

The spelling of 13449216 in words is "thirteen million, four hundred forty-nine thousand, two hundred sixteen".